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Finding the Fourth Proportional to 164,204, 226,601.46 and 88,752.50

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Solution

The fourth proportional to 164,204, 226,601.46 and 88,752.50 is: 122,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,204 : 226,601.46 = 88,752.50 : x
  2. Step 2: Convert to fraction form
    164,204/226,601.46 = 88,752.50/x
  3. Step 3: Cross multiply
    164,204x = 226,601.46 × 88,752.50
  4. Step 4: Simplify right side
    164,204x = 20,111,446,078.65
  5. Step 5: Solve for x
    x = 20,111,446,078.65/164,204
  6. Step 6: Final answer
    x = 122,478.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.